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Finding the Third Proportional to 129,465 and 174,917.25

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Solution

The third proportional to 129,465 and 174,917.25 is: 236,326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,465 : 174,917.25 = 174,917.25 : x
  2. Step 2: Convert to fraction form
    129,465/174,917.25 = 174,917.25/x
  3. Step 3: Cross multiply
    129,465x = 174,917.25 × 174,917.25
  4. Step 4: Simplify right side
    129,465x = 30,596,044,347.56
  5. Step 5: Solve for x
    x = 30,596,044,347.56/129,465
  6. Step 6: Final answer
    x = 236,326.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.